The function f(x) = 5+9x + 81x- has one local minimum and one local maximum. This function has a local maximum at %3D with value and a local minimum at x = with value

Q: Find the critical points, domain endpoints, and local extreme values for the function. y = 4x/16 -…

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Q: Use a graphing utility to approximate the relative minimum of the function f(x) = 3x2 − 4x − 2.

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Q: Does ƒ(x) = (7 + x)(11 - 3x) 1>3 have an absolute minimum value or an absolute maximum?

A: Here we have,  f(x)=(7+x)(11-3x)13 differentiate with respect to x

Q: Find any relative maximum or minimum points of the given function. y = 2 + 8x - x2 O Maximum at (4,…

A: We can find the answer as below.

Q: The function x2 f(x) = 1 - x has a local maximum when x = 2. Select one:

A: We will check if the given statement is correct.

Q: Find any relative maximum or minimum points of the given function. y = x - 8x - 2

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Q: Find the absolute maximum value of the function f(x) = (x - *).

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Q: The function f(x) = 2x3 – 42x? + 240x + 1 has derivative f'(x) = 6x² – 84x + 240. f(x) has one local…

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Q: Find the absolute minimum and the absolute maximum of the function on the interval [0,3]. f(x)=x^2…

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Q: Find the absolute maximum/minimum if any of f (x)=x' +3x² +1 on the interval [-3, 2].

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Q: Find the absolute maximum/minimum of function f(x) = x3 - 16x + 1 %3D

A: fx=23x3-16x+1 to find the critical points take derivative=0 ddx23x3-16x+1=0 ddx2x33-ddx16x+ddx1=0…

Q: The function f(x) = 2a* - 39x2 + 240x + 10 has derivative f'(x) = 6x² – 78x + 240. f(x) has one…

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Q: The function f(x) = 3x + 2x has one local minimum and one local maximum. This function has a local…

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Q: Given the piecewise function: 4x + 12 x<-2 - 1<x f(x) = -2x + 6 -2 What is the relative maximum?…

A: We first sketch the function

Q: Find the absolute maximum and absolute minimum f(x) = x³ – 6x² + 9x + 9, [-1, 8] %3D absolute…

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Q: Find the absolute extrema of the function on the closed interval. 9x2 g(x) [-2, 1] х — 2 minimum (х,…

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Q: The function f(x) = 2x3 + 39x? 216x + 10 has one local minimum and one local maximum. - - This…

A: we will find the local maximum and local minimum.

Q: Find the absolute maximum and absolute minimum values of the function  f(x)=x+4x on the interval…

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Q: What is the relative maximum value of the function f (x) = 2/x – x?

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: The revenue function for a oneproduct firm is R(x) = 200 - 1600/(x + 8) - x. Find the value of x…

A: Let a = 1600, so a' = 0 Let b = x + 8, so b' = 1 Let c = a/b, so we use the Quotient Rule: c' = (a'b…

Q: Consider the function f(x)=1−6x^2, -4≤x≤2. The absolute maximum value is    and this occurs at x =?…

A: ddxxn=n xn-1

Q: Find the maximum or minimum value of the function. h(x) =1/2x2 + 6x − 2 h(x)= Is this a maximum…

A: To find maximum or minimum of a function, we will take first derivative of f(x) to find critical…

Q: Find the local maxima and local minimum value of function f(x) =xx

A: We use first derivative test to find local maximum and minimum

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 3 f(x) = 4 + 12x…

A: Given function is f(x)=4+12x+3x2, x&gt;0 Differentiate f(x) with respect to x. f'(x)=12-6x3

Q: Find the absolute maximum or minimum if it exists. 3. f(x) = 2x2 + 3x – 2 4. f(x) = 1 – x – x2

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Q: The function f(x) = 7x + 8x -1 has one local minimum and one local maximum. %3D This function has a…

A: SOLUTION-

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given : A manufacturer finds that the revenue generated by selling x units of a certain commodity is…

Q: Given the function f(x)=x^(3)-x^(2), a relative maximum point occurs at x= ?

A: Let f(x) be the given function and c be the critical point of f. If f"(c)&lt;0 then f has relative…

Q: The function f(x) = 6x + 9x¯1 has one local minimum and one local r This function has a local…

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Q: Consider the production function:  Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output…

A: The given production function: y=0.75x+0.0042x2-0.000023x3  .......1 Differentiate both sides with…

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 9. f(x) = 10x +…

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Q: Find a function whose graph passes through the point (1,2/e) and satisfies x^2y'=y.

A: Given differential equation     x2y'=y   and initial condition  at x=1,y=2/e

Q: Find the relative minimum and maximum of f(x)=(x+1)/(x^2+x+1).

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Q: Determine all the critical points of the function f(x) = 3xe3*

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Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 0.01x²…

A: Given that the demand function is Px=5000.01x2+1. We have to find the number of accessories must be…

Q: 3. Determine the absolute maximum and absolute minimum on the interval [-1, 2] for the function…

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Q: Consider the function f(x) = 4 – 7x², - 4 < x < 1. The absolute maximum value is and this occurs at…

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Q: Find the maximum and minimum values attained by the function: f(x) = x +-

A: Here the given function as fx=x+5x or fx=x2+5x Differentiate with respect to x…

Q: Find all the critical points of  f(x) = 3x4 - 40x3 + 150x2 and classify each as a relative minimum,…

A: Find f'(x) using exponent rule.

Q: Find the absolute maximum and absolute minimum values of f(x) = 2x2 −20x+550 on the interval[1,10]

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Q: The function f(x) = 2x³ − 33x² + 60x + 8 has derivative f'(x) = 6x² f(x) has one local minimum and…

A: Explanation of the answer is as follows

Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

A: Explanation of the answer is as follows

Q: What values of a and b make ƒ(x) = x3 + ax2 + bx have a local maximum at x = -1 and a local minimum…

A: Given: fx=x3+ax2+bx To find a, b such that function has local maxima at x = -1 and local minima x =…

Q: Given f(x) =x³ – 81x + 10, use rates of change to verify that there is an optimal value at x = -9.…

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Q: Determine all critical points for the function. y = 4x² - 128 x

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Q: Consider the function f(x) = 4 – 6x?, – 3 < x < 2. - The absolute maximum value is and this occurs…

A: To find The absolute maximum and absolute minimum values of f(x).

Q: y = x* – 4x +1

A: